I'm sorry - I had to go to hospital and was therefore not in English language mode.
Degree = the amount, level, or extent to which something happens or is present
To achieve any degree of accuracy the vocabulary which can be recognised is very small.
The diagnosis may be made with a high degree of accuracy from the clinical appearance of the lesions
Level = a position or stage on a scale of quantity, extent, rank, or quality
To maintain the high level of accuracy required, a video of the uses of accident data may prove to be valuable.
make a measurement within the usual range of the instrument to an appropriate level of accuracy